Question

PLEASE HELP ME !!!! 17pts

Consider the graph of f shown be

Estimate the average rate of change from X = 2 to x = 5.

Answer 1

Average rate of change =
`(4)/(3)`

Explanation:

We have to calculate the average rate of change of the graph at x = 2 to x = 5.

From the graph attached,

At x = 2,

f(2) = 3

At x = 5,

f(5) = 7

Since, average rate of change of the function between x = a and x = b is defined by,

Average rate of change =
`(f(b) - f(a))/(b - a)`

Therefore, average rate of change of the function represented by the graph will be =
`(7-3)/(5-2)`

=
`(4)/(3)`